Answer:
11. 6
13. 73
15. 588
17. 139
19. 18
21. 18
23. 8
Step-by-step explanation:
To solve these equations, you simplify each expression. You also use the order of operations.
You and your family go camping.
Your campsite is square. The area
of your campsite is 900 square
feet. What is the perimeter of the
campsite?
Answer:
The campsite would be 65 m by 65 m. 65 x 65 = 4,225. Another way to put it (and the way to figure it out) is that the square root of 4,225 is 65.
Step-by-step explanation:
helpppp and let the answer be right plssss
Answer:
Step-by-step explanation:
x=6
Will mark brainliest please do right answer.
Answer:
option (1), (4),(5)
Step-by-step explanation:
(1)
-7 + (-8) = - 7 - 8= - 15 < -8
(2)
- 42 ÷ (-6) = 7 > -8
(3)
- 4 + (-4) = - 4 - 4 = - 8 = - 8
(4)
6(-3)= - 18 < - 8
(5)
-5-7= -12 < - 8
(6)
-28 ÷ 7= -4 > - 8
Which line is parallel to the line given y=-5/2x-7
Answer:
xzy567
Step-by-step explanation:
if 5 hours = 40 $
and 6 hours =48 $
and 8 hours = 64 $
then what does ? hours = 56 $
what the missing number
Answer:
7 hours
Step-by-step explanation:
Suppose z varies directly with x and inversely with the square of y. If z = 16 when x = 4 and y = 1 , what is z when x = 8 and y = 9 ?
Answer:
z = 3.6
Step-by-step explanation:
Given that,
z varies directly with x and inversely with the square of y. We can write it as :
\(z\propto \dfrac{x}{y}\\\\z=\dfrac{kx}{y}\)
Where
k is constant
Put z = 16 when x = 4 and y = 1
\(16=\dfrac{k\times 4}{1}\\\\k=4\)
Now put k = 4, x = 8 and y = 9
\(z=\dfrac{4\times 8}{9}\\\\z=3.6\)
So, the value of z is equal to 3.6.
Statements
1. WXYZ is a
parallelogram with
diagonals
XZ and WY
intersecting at
point V.
2. WX // ZY and
XY // WZ
3. ZWXYZYZW
ZWXZ = ZYZX
4.XYZW
5. AWZVAYXV
6. WV YV
7. XZ bisects WY
Given
Reasons
Definition of a parallelogram
Opposite sides of a
parallelogram are congruent
Corresponding parts of
congruent triangles are
congruent
Definition of segment bisector
1. ZX ≅WY; WXYZ is a parallelogram. 1. Given
2. ZY≅ WX 2. The opposite sides of the
parallelogram are ≅
what is parallelogram ?There are 4 different kinds of parallelograms, including 3 unique kinds. The four types are rhombuses, squares, parallelograms, and rectangles.
There are not equal sides on a parallelogram. A parallelogram only has equal sides on its opposite sides.
what is segment bisector ?A line segment bisector splits a line segment into two equally sized pieces. It passes through the segment's halfway.
The following justifications are given for the choice made above:
The following is how the two-column proof is presented.
Statement Motive
1. ZX ≅WY; WXYZ is a parallelogram. 1. Given
2. ZY≅ WX 2. The opposite sides of the parallelogram are ≅
3. YX ≅ YX 3. The reflexive quality
4. Δ ZYX ≅ΔWXY 4. The SSS thm.
5 . ∠ZYX ≅ ∠WXY 5 . CPCTC
6 . m∠ZYX ≅m∠WXY 6. Def. of ≅
7. m∠ZYX + mWXY equal 180° 7. Parallelograms with consecutive s are additional
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what is 7/9 of 1 1/14
Answer:
1.5555556
1 5/9
14/9
Step-by-step explanation:
Travis spies an owl in a tall tree. He estimates the height of the tree to be 85 feet and the angle of elevation to the bird from where he stands to be 68°. The leaves on the tree make it difficult for Travis to watch the bird, so he takes several steps away from the tree to get a better view. He now estimates his angle of elevation to be 41°.
How many feet did Travis step back to gain a better view of the bird? Round your answer to the nearest hundredth of a foot.
Please help!!
Answer:
63.44 feet
Step-by-step explanation:
tan(68 degrees)= 85/y
y tan (68 degrees)=85
y=85/tan(68 degrees) ( cross multiply)
y = 34.34 feet
tan (41 degrees)=85/x+y
(x+y)tan(41 degrees)=85
x+y=85/tan 41 degrees
x=85/tan(41 degrees) - y
x= 85/tan (41 degrees)-(34.34) (cross multiply)
Therefore, Travis stepped back 63.44 feet to gain a better view!
Which statement is true regarding the graphed functions?
f(0) = g(0)
f(-2) = g(-2)
f(0) = g(-2)
f(-2)=g(0)
Please answer this correctly
Answer:
3.14
Step-by-step explanation:
A quarter circle is just 1/4 of an entire circle's area. Since you know the radius is two, simply find the area of the entire circle and divide by 4.
4pi/4 = pi
what is the volume of this prism??
Answer:
please find attached pdf
Step-by-step explanation:
2 log5 x=log5 4+log5 9
The equation 2 log₅ x = log₅ 4 + log₅ 9 has two solutions: x = 6.
To solve the equation 2 log₅ x = log₅ 4 + log₅ 9, we can use logarithmic properties to simplify and find the value of x.
Using the properties of logarithms, we can rewrite the equation as follows:
2 log₅ x = log₅ (4 * 9)
Next, we simplify the right side:
2 log₅ x = log₅ (36)
Now, we can use the property of logarithms that states logₐ b = c is equivalent to aᶜ = b. Applying this property, we have:
x² = 36
Taking the square root of both sides, we get:
x = √36
Since the square root of 36 can be either positive or negative, we have two possible solutions:
x = 6
It's important to note that when working with logarithmic equations, we must always check if the obtained solutions satisfy the domain restrictions of the original equation. In this case, since the logarithm has a base of 5, the solution x = 6.
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simplify
\( \frac{42xyz}{56} \div \frac{40y {x}^{2} }{32xy} \)
how to solve
He jogging track has a length of 792 yards how long is this in miles
By performing the division, the jogging track is 0.45 miles long.
What is division?Division is a mathematical operation that involves the splitting of a quantity into equal parts or groups.
According to given information:The problem asks us to convert a length of 792 yards to miles. To do this, we need to use a conversion factor to relate yards to miles. We know that there are 1760 yards in a mile, so we can use this relationship to convert the length in yards to miles.
To convert yards to miles, we divide the length in yards by the number of yards in a mile. This is because we want to cancel out the units of yards and be left with the corresponding number of miles.
So, 792 yards / 1760 yards/mile gives us the length of the jogging track in miles. We can simplify this expression by performing the division to get the result of 0.45 miles. Therefore, the jogging track is 0.45 miles long.
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Employee Earnings per
month($)
1
1,200
2
2,600
3
1,800
4
1,450
5
3,500
6
2,800
7
12,500
8
3,200
Answer:
actually its depend on how is he working day by day
Alina wants to make keepsake boxes for her two best friends. She doesn't have a lot of money, so she wants to make each box described so that it holds as much as possible with a limited amount of material.
For Jen, Alina wants to make a box with a square base whose sides and base are made of wood and whose top is made of metal. The wood she wants to use costs 5 cents per square inch, while the material for the metal top costs 12 cents per square inch. What is the largest possible box (in terms of volume measured in cubic inches) that Alina can make for Jen if she only has $30.00 to spend on materials? (Round your answer to three decimal places.)
Answer:
So Alina can make a box with dimensions 8.445 inches by 8.445 inches by 8.445 inches (with a metal top) that will hold approximately 606.526 cubic inches.
Step-by-step explanation:
Let's assume that the length of one side of the square base of the box is "x". Then the height of the box is also "x" to maximize the volume.
The surface area of the box (excluding the top) is given by:
2(x^2) + 4(x^2) = 6(x^2)
The surface area of the metal top is:
x^2
The total surface area of the box is the sum of the surface area of the box and the surface area of the metal top:
6(x^2) + x^2 = 7(x^2)
The cost of the wood for the box is:
5 cents per square inch * 6(x^2) = 30x^2 cents
The cost of the metal for the top is:
12 cents per square inch * x^2 = 12x^2 cents
The total cost of the box is:
30x^2 + 12x^2 = 42x^2 cents
We want to find the maximum volume of the box that can be made with $30, which is 3000 cents. Therefore, we can set up the equation:
42x^2 = 3000
Solving for x, we get:
x^2 = 71.429
x ≈ 8.445
Therefore, the maximum volume of the box is:
V = x^2 * x = (8.445)^3 ≈ 606.526 cubic inches.
So Alina can make a box with dimensions 8.445 inches by 8.445 inches by 8.445 inches (with a metal top) that will hold approximately 606.526 cubic inches.
If the five digit number aa448 is divisible by 9, what digit does a represent?
Answer:
a represent 1
and number is 11448.
Step-by-step explanation:
We know that a number is divisible by 9 if the sum of its digit is divisible by 9.
Given number aa448
sum of 4+4+8 = 16
number divisible by 9, 18 , 27,36
as we see sum of 448 is 16 , hence sum of a+a+4+4+8 should be number divisible by 9 and greater than 16 which is 18, 27,36
Let see of if sum of digits of aa448 is divisible by 18
a+a+4+4+8 = 18
2a + 16 = 18
2a = 18-16 = 2
a =2/2 = 1
Thus, number will be 11448
________________________________________
Let see of if sum of digits of aa448 is divisible by 27
a+a+4+4+8 = 27
2a = 27 - 16
2a = 11 = 2
a =11/2 = 5.5
as digit cannot be fraction of decimal, it can take value from 1 to 9 hence
sum of digits of aa448 is not divisible by 27
______________________________________________
Let see of if sum of digits of aa448 is divisible by 36
a+a+4+4+8 = 36
2a + 16 = 36
2a = 36-16 = 20
a =20/2 = 10
as digit can take value from 1 to 9 hence sum of digits of aa448 cannot be divisible by 36 or any higher number than 36 which is divisible by 9.
Thus , a represent 1
and number is 11448.
En cierto laboratorio se cultiva la cepa de una bacteria, causal de múltiples problemas. Con fin de determinar la rapidez de reproducción de dicha bacteria, esta se coloca en un medio de crecimiento y condiciones favorables. La población existente es de 250 bacterias y se observa que cada hora se duplica la cantidad
The exponential function giving the number of bacteria after x hours is given as follows:
\(y = 250(2)^x\)
How to define an exponential function?An exponential function has the definition presented according to the equation as follows:
\(y = ab^x\)
In which the parameters are given as follows:
a is the value of y when x = 0.b is the rate of change.The parameter values for this problem are given as follows:
a = 250, b = 2.
Hence the function is given as follows:
\(y = 250(2)^x\)
Missing InformationThe problem asks for the exponential function giving the number of bacteria after x hours is given as follows:
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What is 1 and 1/11 as a single fraction greater than one . 3 2/5. 2 4/15
Pls help with this question pictured below.
The implicit derivative is given as follows:
dx/dt(x = 4) = 1/12.
How to obtain the implicit derivative?The function in this problem is given as follows:
y = 3x² + 1.
The implicit derivative, relative to the variable t, is given as follows:
dy/dt = 6x dx/dt.
(the derivative of the constant 1 is of zero).
The parameters for this problem are given as follows:
x = 4, dy/dt = 2.
Hence the derivative is obtained as follows:
2 = 6(4) dx/dt
dx/dt = 2/24
dx/dt = 1/12.
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Given D(7,2), E(1, 9), F(4,8), and G(x, 1). Find a such that DE || FG.
The value of x with the given condition is 10
How to determine the value of xFrom the question, we have the following parameters that can be used in our computation:
D(7,2), E(1, 9), F(4,8), and G(x, 1),
Also, we have
DE || FG
This means that the lines DE and FG are parallel lines and they have equal slope
The slope is then calculated as
slope = (y₂ - y₁)/(x₂ - x₁)
So, we have
(9 - 2)/(1 - 7) = (1 - 8)/(x - 4)
Evaluate the difference
-7/6 = -7/(x - 4)
So. we have
x - 4 = 6
Evaluate
x = 10
Hence. the value of x is 10
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Mr. Cho received a container of fresh eggs. He sold 1/3
of the eggs in the
morning and sold 320 eggs in the afternoon. At the end of the day, he
found that 1/4
of the eggs were not sold. How many eggs did he receive in
the beginning?
Mr. Cho received 3840 eggs in the beginning.
Let's assume that Mr. Cho received x eggs in the beginning.
In the morning, he sold 1/3 of the eggs, so he had 2/3 of the eggs left. Therefore, he had 2/3 x eggs left after the morning sales.
In the afternoon, he sold 320 eggs, so he had 2/3 × x - 320 eggs left at the end of the afternoon.
At the end of the day, he found that 1/4 of the eggs were not sold, which means that he had 3/4 of the eggs left. Therefore, we have:
3/4 × x = 2/3 × x - 320
Multiplying both sides by 12, we get:
9x = 8x - 3840
Simplifying, we get:
x = 3840
Therefore, Mr. Cho received 3840 eggs in the beginning.
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what is the gcf of the term -15y^4+12y^2-9y
Answer:
3y(-5y^3+4y-3)
Step-by-step explanation:
An arc subtends a central angle measuring \dfrac{3\pi}{5}
5
3π
start fraction, 3, pi, divided by, 5, end fraction radians.
What fraction of the circumference is this arc?
of the circumference
S
Answer:
3/10
Step-by-step explanation:
The central angle of the arc is \(\frac{3 \pi}{5}\).
The circumference of an arc of a circle is given as:
\(C_a = \frac{\theta}{2 \pi} * C\)
where C= circumference of the circle
θ = central angle of the arc
Therefore, the circumference of the arc is:
\(C_a = \frac{\frac{3 \pi}{5} }{2 \pi} * C\\\\C_a = \frac{3 \pi}{10 \pi} * C\\\\C_a = \frac{3}{10}C\)
The circumference of the arc will be 3/10 of the circumference of the circle.
What is (4x2 − x + 1) subtracted from (6x2 + 5x – 4) ?
Answer:
Step-by-step explanation:
4x^2-x+1-(6x^2+5x-4)
4x^2-6x^2-x-5x+1+4
-2x^2-6x+5
Multiply. Write the answer in simplest form. 3/7 x 2 5/6
193/42
3×6+25×7÷4218+175÷42193/42Yes, AA
Yes, SAS
Not similar
Yes, SSS
Answer:
Yes, AA
Step-by-step explanation:
These triangles are similar because 2 angles in each triangle are congruent.
Of 120 students from College of Education DIVERS State 19 read both accoch tacy and sociology to read Accountacy or Sociology but not french 27 read Sociology but not accountary or french, 53 read sociology or french but 19 read French but not AccoLLA not Accountacy tacy or Sociology an French but not sociology and and 8 read Accountay Assume that each Student reads at least one of the courses. How many students read; (1) All three courses. (11) Only one course (11) two courses (N) Accountacy irrespective of sociology or french
(1) 6 students read all three courses.
(II) 37 students read only one course.
(III) 77 students read exactly two courses.
(IV) 73 students read Accountancy irrespective of Sociology or French.
How to solveLet A represent the number of students reading Accountancy, S represent the number of students reading Sociology, and F represent the number of students reading French.
Let X be the number of students reading all three.
From the information given:
A ∩ S = 19
A + S - 27 = 120 - 53 + 19 = 86 (number of students reading Accountancy or Sociology but not French)
S - A - X = 27
S + F - X = 53
F - X = 19
A - X = 86 - 19 = 67
Total = A + S + F - (A ∩ S) - (A ∩ F) - (S ∩ F) + X = 120
Solving, we get X = 6, A = 73, S = 52, F = 25.
(1) 6 students read all three courses.
(II) 37 students read only one course.
(III) 77 students read exactly two courses.
(IV) 73 students read Accountancy irrespective of Sociology or French.
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Araron picked 14 pints of bottled water into a cooler for the family road trip. How many gallons of water did he pack into the cooler?
Answer:
1.75 gallons
1 pint = 0.125 gallon
With that information, we can write a proportion:
\(\frac{1 pint}{0.125 gallons}\) = \(\frac{14 pints}{x}\)
Cross multiply:
x = 1.75 gallons